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Finding the Fourth Proportional to 1,856.26, 2,772.17 and 1,582.84

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Solution

The fourth proportional to 1,856.26, 2,772.17 and 1,582.84 is: 2,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.26 : 2,772.17 = 1,582.84 : x
  2. Step 2: Convert to fraction form
    1,856.26/2,772.17 = 1,582.84/x
  3. Step 3: Cross multiply
    1,856.26x = 2,772.17 × 1,582.84
  4. Step 4: Simplify right side
    1,856.26x = 4,387,901.56
  5. Step 5: Solve for x
    x = 4,387,901.56/1,856.26
  6. Step 6: Final answer
    x = 2,363.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.